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Wild problems in the theory of representations of *-algebras given by generators and relations. (English) Zbl 0939.16010
The authors consider the representations of the *-algebra with the generators a k ,a k * , k=1,...,n which satisfy the polynomial relations P j (a 1 ,...,a n ,a 1 * ,,a n * )=0, j=1,,m. Connections between the factor-wild *-algebras (NGCR, in other terms) and the pair-wild *-algebras are investigated. It is shown that a pair-wild *-algebra is a factor-wild *-algebra, but the converse of this statement is not true.
Reviewer: G.F.Us (Kyïv)
MSC:
16G60Representation type of noncommutative rings and modules
46K10Representations of topological algebras with involution
46L35Classifications of C * -algebras
16R50Other kinds of identities of associative rings
16W10Associative rings with involution, etc.